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Grow-up rate of solutions for a supercritical semilinear diffusion equation |
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| Authors: | Marek Fila Eiji Yanagida |
| Affiliation: | a Institute of Applied Mathematics, Comenius University, Mlynská dolina, 842 48 Bratislava, Slovakia b Department of Mathematics I, RWTH Aachen, 52056 Aachen, Germany c Mathematical Institute, Tohoku University, Sendai 980-8578, Japan |
| Abstract: | We study solutions of the Cauchy problem for a supercritical semilinear parabolic equation which converge to a singular steady state from below as t→∞. We show that the grow-up rate of such solutions depends on the spatial decay rate of initial data. |
| Keywords: | Grow-up Semilinear diffusion equation Critical exponent |
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